논문KCI 등재
New q-Euler numbers and polynomials associated with p-adic q-integrals
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Abstract
The purpose of this paper is to construct new q-Euler numbers and polynomi-als. Finally we will consider the Witt's type formula associated with theseq-Euler numbers and polynomials, and construct q-partial zeta functions and p-adic q-l-functions which interpolate new q-Euler numbers and polynomials at negative integers.
참고문헌 (11)
- T. Kim, "A note on p-adic invariant integral in the rings of p-adic integers", 13, pp.95~99 (2006)
- T. Kim, "A note on some formulas for the q-Euler numbers and polynomials", 9, pp.227~232 (2006)
- T. Kim, "q-Volkenborn integration", 9, pp.288~299 (2002)
- T. Kim, "A Note on the q-Genocchi Numbers and Polynomials", 2007 (2007)
- T. Kim, "On p-adic interpolating function for q-Euler numbers and its derivatives", article press
- T. Kim, "A note on p-adic q-integral associated with q-Euler numbers"
- L. C. Jang, "Explicit p-adic q-expansion for the alternating sums of powers"
- H. Ozden, "A new extension of q-Euler numbers and polynomials related to theirinterpolation function" (2007)
- H. Ozden, "Interpolation function of the -extension of twisted Euler numbers"
- S.H. Rim, "Explicit p-adic expansion for alternating sums of powers", 14, pp.241~250 (2007)
- H. Ozden, "A note on p -adic q -Euler measure", Advanced Studies in Contemporary Mathematics, 14(2), pp.233~240 (2007), 장전수학회
관련 논문AI추천
A note on p -adic q-integral on Z_p associated with q-Euler numbersT. Kim장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제15권 제2호A note on some formulae for the q-Euler numbers and polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2006 · 제9권 제2호Note on the q-Euler numbers of higher order김태균장전수학회 · Advanced Studies in Contemporary Mathematics2009 · 제19권 제1호q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_pAND T. KIM, D. V. Dolgy, J.-J. SEO, S. H. LEE, S. H. Rim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호On the q-extension of higher-order Euler polynomials김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2012 · 제15권 제3호ON THE q-EULER NUMBERS AND WEIGHTED q-BERNSTEIN POLYNOMIALS김영희, 김태균, 이병제, 임석훈, 최종성장전수학회 · Advanced Studies in Contemporary Mathematics2011 · 제21권 제1호
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